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Worksheet Exponent Rules
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Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\frac{10jk^{7}}{j^{-3}}} }\)
Simplified answer:
12.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{{\left(2x^{2}y^{4}\right)^{7}}}\)
Simplified answer:
13.
Simplify the given expression and enter your answer with positive exponents.
\(\displaystyle{ {\left(w^{0}x^{3}\right)^{-5}} }\)
Simplified answer:
14.
(a) Simplify \(\displaystyle{\frac{n^{7}}{n^{15}}}\) and write your answer without using negative exponents.
(b) Simplify \(\displaystyle{\frac{n^{7}}{n^{-15}}}\) and write your answer without using negative exponents.
(c) Simplify \(\displaystyle{\frac{n^{-7}}{n^{15}}}\) and write your answer without using negative exponents.
(d) Simplify \(\displaystyle{\frac{n^{-7}}{n^{-15}}}\) and write your answer without using negative exponents.
Hint.
Solution.
Part (a):
\(\frac{n^{7} }{ n^{15}} = n^{(7-15)} = n^{-8} = \frac{1}{n^{8}}\)
Part (b):
\(\frac{n^{7} }{ n^{-15}} = n^{(7-(-15))} = n^{22}\)
Part (c):
\(\frac{n^{-7} }{ n^{15}} = n^{(-7-15)} = n^{-22} = \frac{1}{n^{22}}\)
Part (d):
\(\frac{n^{-7} }{ n^{-15}} = n^{(-7-(-15))} = n^{8}\)
